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According to a survey in a country, 33% of adults do not have any credit cards. Suppose a simple random sample of 300 adults
According to a survey in a country, 33% of adults do not have any credit cards. Suppose a simple random sample of 300 adults is obtained. (a) Describe the sampling distribution of p, the sample proportion of adults who do not have a credit card. Choose the phrase that best describes the shape of the sampling distribution of p below. OA. Not normal because N > 10 n and n(1 - p) 10. OB. Approximately normal because N > 10 n, np 10 and n(1 - p) > 10. OC. Not normal because N > 10 n, np > 10 and n(1 - p) > 10. D. Approximately normal because N 10 n, np 10 and n(1 - p) 10. Determine the mean of the sampling distribution of p (Round to two decimal places as needed.) Determine the standard deviation of the sampling distribution of p. (Round to three decimal places as needed.) P (b) In a random sample of 300 adults, what is the probability that less than 30% have no credit cards? The probability is (Round to four decimal places as needed.) (c) Would it be unusual if a random sample of 300 adults results in 108 or more having no credit cards? A. The result is not unusual because the probability that p is greater than or equal to this sample proportion is greater than 5%. OB. The result is unusual because the probability that p is greater than or equal to this sample proportion is greater than 5%. OC. The result is unusual because the probability that p is greater than or equal to this sample proportion is less than 5%. OD. The result is not unusual because the probability that p is greater than or equal to this sample proportion is less than 5%.
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